English

A New Class of Automata Networks

chao-dyn 2009-10-28 v1 Chaotic Dynamics

Abstract

A new class of automata networks is defined. Their evolution rules are determined by a probability measure p on the set of all integers Z and an indicator function I_A on the interval [0,1]. It is shown that any cellular automaton rule can be represented by a (nonunique) rule formulated in terms of a pair (p,I_A). This new class of automata networks contains discrete systems which are not cellular automata. Some of their properties are discussed.

Keywords

Cite

@article{arxiv.chao-dyn/9610002,
  title  = {A New Class of Automata Networks},
  author = {N. Boccara and H. Fuks and S. Geurten},
  journal= {arXiv preprint arXiv:chao-dyn/9610002},
  year   = {2009}
}

Comments

Uses elsart.cls document class. Five figures (two in EPS format)